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The Journal of Financial Data Science

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Greedy Online Classification of Persistent Market States Using Realized Intraday Volatility Features

Peter Nystrup, Petter N. Kolm and Erik Lindström
The Journal of Financial Data Science Summer 2020, 2 (3) 25-39; DOI: https://doi.org/10.3905/jfds.2020.2.3.025
Peter Nystrup
is a postdoctoral fellow in the Centre for Mathematical Sciences at Lund University in Lund, Sweden, and in the Department of Applied Mathematics and Computer Science at the Technical University of Denmark in Lyngby, Denmark
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Petter N. Kolm
is a clinical professor and director of the Mathematics in Finance Master’s Program in the Courant Institute of Mathematical Sciences at New York University in New York, NY
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Erik Lindström
is a professor and head of the Section for Mathematical Statistics in the Centre for Mathematical Sciences at Lund University in Lund, Sweden
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Abstract

In many financial applications, it is important to classify time-series data without any latency while maintaining persistence in the identified states. The authors propose a greedy online classifier that contemporaneously determines which hidden state a new observation belongs to without the need to parse historical observations and without compromising persistence. Their classifier is based on the idea of clustering temporal features while explicitly penalizing jumps between states by a fixed-cost regularization term that can be calibrated to achieve a desired level of persistence. Through a series of return simulations, the authors show that in most settings their new classifier remarkably obtains a higher accuracy than the correctly specified maximum likelihood estimator. They illustrate that the new classifier is more robust to misspecification and yields state sequences that are significantly more persistent both in and out of sample. They demonstrate how classification accuracy can be further improved by including features that are based on intraday data. Finally, the authors apply the new classifier to estimate persistent states of the S&P 500 Index.

TOPICS: Statistical methods, simulations, big data/machine learning

Key Findings

  • • A new greedy online classifier is proposed that contemporaneously determines which hidden state a new observation belongs to without the need to parse historical observations and without compromising temporal persistence.

  • • A series of simulations demonstrates that the new classifier frequently obtains a higher accuracy and is more robust to misspecification than the correctly specified maximum likelihood estimator.

  • • Classification accuracy can be improved by including features that are based on intraday volatility data.

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The Journal of Financial Data Science: 2 (3)
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Greedy Online Classification of Persistent Market States Using Realized Intraday Volatility Features
Peter Nystrup, Petter N. Kolm, Erik Lindström
The Journal of Financial Data Science Jul 2020, 2 (3) 25-39; DOI: 10.3905/jfds.2020.2.3.025

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Greedy Online Classification of Persistent Market States Using Realized Intraday Volatility Features
Peter Nystrup, Petter N. Kolm, Erik Lindström
The Journal of Financial Data Science Jul 2020, 2 (3) 25-39; DOI: 10.3905/jfds.2020.2.3.025
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